Search a number
-
+
12202010220000 = 253543734915749
BaseRepresentation
bin1011000110010000000001…
…1111000001010111100000
31121012111112001221112201110
42301210000133001113200
53044404204104020000
641541305350103320
72366365121365146
oct261440037012740
947174461845643
1012202010220000
113984930733047
1214509b864ab40
136a684c323b43
1430281aa59596
15162607ac5850
hexb19007c15e0

12202010220000 has 480 divisors, whose sum is σ = 41227193700000. Its totient is φ = 3156655104000.

The previous prime is 12202010219999. The next prime is 12202010220019. The reversal of 12202010220000 is 2201020221.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 774772126 + ... + 774787874.

It is an arithmetic number, because the mean of its divisors is an integer number (85889986875).

Almost surely, 212202010220000 is an apocalyptic number.

12202010220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202010220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20613596850000).

12202010220000 is an abundant number, since it is smaller than the sum of its proper divisors (29025183480000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12202010220000 is a wasteful number, since it uses less digits than its factorization.

12202010220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16168 (or 16145 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12202010220000 its reverse (2201020221), we get a palindrome (12204211240221).

The spelling of 12202010220000 in words is "twelve trillion, two hundred two billion, ten million, two hundred twenty thousand".